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Finding the Third Proportional to 83,200 and 129,075

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Solution

The third proportional to 83,200 and 129,075 is: 200,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,200 : 129,075 = 129,075 : x
  2. Step 2: Convert to fraction form
    83,200/129,075 = 129,075/x
  3. Step 3: Cross multiply
    83,200x = 129,075 × 129,075
  4. Step 4: Simplify right side
    83,200x = 16,660,355,625
  5. Step 5: Solve for x
    x = 16,660,355,625/83,200
  6. Step 6: Final answer
    x = 200,244.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.